Sorry for being late.
Nice choice of Dragon Ball Z. I can see that with a family like qualities. My choice would be One Piece and Clannad.
One Piece has the Straw Hat crew together and they always stick together when facing foes. When they are not fighting, they usually goof around.
Clannad is an anime that heavily focuses on family and that these characters are always together. The Great Dango Family ( I I )